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Finding the Fourth Proportional to 379,137.64, 523,210.14 and 207,058

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Solution

The fourth proportional to 379,137.64, 523,210.14 and 207,058 is: 285,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,137.64 : 523,210.14 = 207,058 : x
  2. Step 2: Convert to fraction form
    379,137.64/523,210.14 = 207,058/x
  3. Step 3: Cross multiply
    379,137.64x = 523,210.14 × 207,058
  4. Step 4: Simplify right side
    379,137.64x = 108,334,845,168.12
  5. Step 5: Solve for x
    x = 108,334,845,168.12/379,137.64
  6. Step 6: Final answer
    x = 285,740.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.